The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly choser Let X = percent of fat calories. (a) Find the z-score corresponding to 30 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 30. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: 2 regions 0. Click and drag the arrows to adjust the values. -4 0 1 2 1 3 -1.5 2.5

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